2021/10/31 by M. A. Alcoforado, W. Barreto, W. O. Barreto +1
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Code (set theory) #Collocation (remote sensing) #Collocation method #Computer science #Convergence (economics) #Differential equation #Domain (mathematical analysis) #Domain decomposition methods #Finite element method #Galerkin method #Mathematical analysis #Mathematics #Measure (data warehouse) #Model Reduction and Neural Networks #Nonlinear system #Null (SQL) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Seismic Imaging and Inversion Techniques #gr-qc
paper · pdf · doi:10.1142/s0218271822500286
published as Int. J. Modern Phys. D, 2250028 (2022) · Revised version; 21 pages, 10 figures; to appear in Int. J. Modern Phys. D
arxiv created 2021/12/16 · openalex publication_date 2022/02/11 · arxiv updated 2022/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a simple domain decomposition code based on the Galerkin-Collocation method to integrate the field equations of the Bondi problem. The algorithm is stable, exhibits exponential convergence when considering the Bondi formula as an error measure, and is computationally economical. We have incorporated features of both Galerkin and Collocation methods along with the establishment of two non-overlapping subdomains. We have further applied the code to show the decay of the Bondi mass in the nonlinear regime and its power-law late time decay. Another application is the determination of the wave-forms at the future null infinity connected with distinct initial data.